Finite Group Databasebeta

← #14685034

Subgroups — #14685034

Order 2816.

1566 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622541C211yesmaximal, characteristic
2C2×#10622541C211yesmaximal, characteristic
3C2×#10622546C212yesmaximal
4#13066849C212yesmaximal
5#13066849C212yesmaximal
6#13066846C211yesmaximal, characteristic
7#13066846C211yesmaximal, characteristic
8#13066846C211yesmaximal, characteristic
9#13066846C211yesmaximal, characteristic
10#13066843C212yesmaximal
11C2×C43×C11C211yesmaximal, characteristic
12C22×C42×C11C2211yescharacteristic
13C22×C42×C11C2211yescharacteristic
14C22×C42×C11C2211yescharacteristic
15C22×C42×C11C2211yescharacteristic
16C22×C42×C11C2211yescharacteristic
17C22×C42×C11C2211yescharacteristic
18C22×C42×C11C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C22×C4⋊Dic11C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2212yes—
24C22×Dic11⋊C4C2212yes—
25C43×C11—24no—
26C2×C11⋊#95C2212yes—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36#10622546—28no—
37#10622541—24no—
38#10622541C418yescomplemented
39C23×C4×C11C2311yescharacteristic
40C23×C4×C11C2311yescharacteristic
41C23×C4×C11C2311yescharacteristic
42C23×C4×C11C2311yescharacteristic
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×Dic11C2312yes—
47C23×Dic11C2312yes—
48C23×Dic11C2312yes—
49C23×Dic11C2312yes—
50C2×C42×C11—22no—
51C2×C42×C11—22no—
52C2×C42×C11—22no—
53C2×C42×C11—22no—
54C2×C42×C11—22no—
55C2×C42×C11—22no—
56C2×C42×C11—22no—
57C2×C42×C11—22no—
58C2×C42×C11—22no—
59C2×C42×C11—22no—
60C2×C42×C11—22no—
61C2×C42×C11—22no—
62C2×C42×C11—22no—
63C2×C42×C11—22no—
64C2×C42×C11—22no—
65C2×C42×C11—22no—
66C2×C42×C11C2×C414yes—
67C2×C42×C11D414yes—
68C2×C42×C11D414yes—
69C2×C42×C11Q814yes—
70C2×C42×C11Q814yes—
71C2×C4⋊Dic11—22no—
72C2×C4⋊Dic11—22no—
73C2×C4⋊Dic11—22no—
74C2×C4⋊Dic11—22no—
75C2×C4⋊Dic11—22no—
76C2×C4⋊Dic11—22no—
77C2×C4⋊Dic11—22no—
78C2×C4⋊Dic11—22no—
79C2×C4⋊Dic11—22no—
80C2×C4⋊Dic11—22no—
81C2×C4⋊Dic11C2×C414yes—
82C2×C4⋊Dic11C2×C414yes—
83C2×Dic11⋊C4—24no—
84C2×Dic11⋊C4—24no—
85C2×Dic11⋊C4—24no—
86C2×Dic11⋊C4—24no—
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4C2×C418yes—
89C11⋊#95—24no—
90C11⋊#95—24no—
91C11⋊#95—24no—
92C11⋊#95—24no—
93C11⋊#95—24no—
94C11⋊#95—24no—
95C11⋊#95—24no—
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95C2×C418yes—
99#14699—111nomaximal, Sylow
100C24×C11C2411yescharacteristic
101C22×C4×C11—21no—
102C22×C4×C11—21no—
103C22×C4×C11—21no—
104C22×C4×C11—21no—
105C22×C4×C11—21no—
106C22×C4×C11—21no—
107C22×C4×C11—21no—
108C22×C4×C11—21no—
109C22×C4×C11—21no—
110C22×C4×C11—21no—
111C22×C4×C11—21no—
112C22×C4×C11—21no—
113C22×C4×C11—21no—
114C22×C4×C11—21no—
115C22×C4×C11—21no—
116C22×C4×C11—21no—
117C22×C4×C11—21no—
118C22×C4×C11—21no—
119C22×C4×C11—21no—
120C22×C4×C11—21no—
121C22×C4×C11—21no—
122C22×C4×C11—21no—
123C22×C4×C11—21no—
124C22×C4×C11—21no—
125C22×C4×C11C22×C412yes—
126C22×C4×C11C22×C412yes—
127C22×C4×C11C22×C412yes—
128C22×C4×C11C2×D412yes—
129C22×C4×C11C2×D412yes—
130C22×C4×C11C2×D412yes—
131C22×C4×C11C2×D412yes—
132C22×C4×C11C2×D412yes—
133C22×C4×C11C2×D412yes—
134C22×C4×C11C2×Q812yes—
135C22×C4×C11C2×Q812yes—
136C22×C4×C11C2×Q812yes—
137C22×C4×C11C2×Q812yes—
138C22×C4×C11C2×Q812yes—
139C22×C4×C11C2×Q812yes—
140C22×C4×C11#4112yes—
141C22×C4×C11#4112yes—
142C22×C4×C11#4112yes—
143C22×C4×C11#4112yes—
144C22×C4×C11#4112yes—
145C22×C4×C11#4112yes—
146C22×C4×C11#4112yes—
147C22×C4×C11#4112yes—
148C22×C4×C11#4112yes—
149C22×C4×C11#4112yes—
150C22×Dic11—22no—
151C22×Dic11—22no—
152C22×Dic11—22no—
153C22×Dic11—22no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11C22×C414yes—
177C22×Dic11C22×C414yes—
178C42×C11—28no—
179C42×C11—28no—
180C42×C11—28no—
181C42×C11—28no—
182C42×C11—28no—
183C42×C11—28no—
184C42×C11—28no—
185C4⋊Dic11—28no—
186C4⋊Dic11—28no—
187C4⋊Dic11—44no—
188C4⋊Dic11—44no—
189Dic11⋊C4—216no—
190Dic11⋊C4—48no—
191C2×#389—111no—
192C2×#389—111no—
193C2×#387—112no—
194C2×C43D1111yescharacteristic
195#1436—112no—
196#1436—112no—
197C4⋊#95—111no—
198C4⋊#95—111no—
199C4⋊#95—111no—
200C4⋊#95—111no—
201#1434—112no—
202C23×C11C23×C411yescharacteristic
203C23×C11C22×D411yescharacteristic
204C23×C11C22×D411yescharacteristic
205C23×C11C22×Q811yescharacteristic
206C23×C11C22×Q811yescharacteristic
207C23×C11C2×#4111yescharacteristic
208C23×C11C2×#4111yescharacteristic
209C23×C11C2×#4111yescharacteristic
210C23×C11C2×#4111yescharacteristic
211C23×C11C2×#4111yescharacteristic
212C23×C11C2×#4111yescharacteristic
213C23×C11C2×#4111yescharacteristic
214C23×C11C2×#4111yescharacteristic
215C23×C11C2×#4111yescharacteristic
216C23×C11C2×#4111yescharacteristic
217C2×C4×C11—22no—
218C2×C4×C11—22no—
219C2×C4×C11—22no—
220C2×C4×C11—22no—
221C2×C4×C11—22no—
222C2×C4×C11—22no—
223C2×C4×C11—22no—
224C2×C4×C11—22no—
225C2×C4×C11—22no—
226C2×C4×C11—22no—
227C2×C4×C11—22no—
228C2×C4×C11—22no—
229C2×C4×C11—22no—
230C2×C4×C11—22no—
231C2×C4×C11—22no—
232C2×C4×C11—22no—
233C2×C4×C11—22no—
234C2×C4×C11—22no—
235C2×C4×C11—22no—
236C2×C4×C11—22no—
237C2×C4×C11—22no—
238C2×C4×C11—22no—
239C2×C4×C11—22no—
240C2×C4×C11—22no—
241C2×C4×C11—22no—
242C2×C4×C11—22no—
243C2×C4×C11—22no—
244C2×C4×C11—22no—
245C2×C4×C11—22no—
246C2×C4×C11—22no—
247C2×C4×C11—22no—
248C2×C4×C11—22no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11#11714yes—
254C2×C4×C11C4×D414yes—
255C2×C4×C11C4×D414yes—
256C2×C4×C11C4×Q814yes—
257C2×C4×C11C4×Q814yes—
258C2×C4×C11#12114yes—
259C2×C4×C11C22⋊Q814yes—
260C2×C4×C11C22⋊Q814yes—
261C2×C4×C11#12314yes—
262C2×C4×C11#12514yes—
263C2×C4×C11#12514yes—
264C2×C4×C11#12614yes—
265C2×C4×C11C4⋊Q814yes—
266C2×Dic11—24no—
267C2×Dic11—24no—
268C2×Dic11—24no—
269C2×Dic11—24no—
270C2×Dic11—24no—
271C2×Dic11—24no—
272C2×Dic11—42no—
273C2×Dic11—42no—
274C2×Dic11—42no—
275C2×Dic11—42no—
276C2×Dic11—42no—
277C2×Dic11—42no—
278C2×Dic11—42no—
279C2×Dic11—42no—
280C2×Dic11—42no—
281C2×Dic11—42no—
282C2×Dic11—42no—
283C2×Dic11—42no—
284C2×Dic11—42no—
285C2×Dic11—42no—
286C2×Dic11—42no—
287C2×Dic11—42no—
288C2×Dic11—42no—
289C2×Dic11—42no—
290C2×Dic11—42no—
291C2×Dic11—42no—
292C2×Dic11—42no—
293C2×Dic11—42no—
294C22×C4⋊C4—112no—
295C22×C4⋊C4—111no—
296C22×C4⋊C4—111no—
297C22×C4⋊C4—112no—
298C22×C4⋊C4—111no—
299C22×C4⋊C4—111no—
300C22×C42C2×D1111yescharacteristic
301C22×C42C2×D1111yescharacteristic
302C22×C42C2×D1111yescharacteristic
303C22×C42C2×D1111yescharacteristic
304C22×C42C2×D1111yescharacteristic
305C22×C42C2×D1111yescharacteristic
306C22×C42C2×D1111yescharacteristic
307#389—118no—
308#389—224no—
309#387—228no—
310C2×#95—112no—
311C2×#95—112no—
312C2×#95—112no—
313C2×#95—112no—
314C2×#95—112no—
315C2×#95—112no—
316C2×#95—112no—
317C2×#95—112no—
318C2×#95—112no—
319C2×#95—112no—
320C43—24no—
321C22×C11C2×#11711yescharacteristic
322C22×C11C2×C4×D411yescharacteristic
323C22×C11C2×C4×D411yescharacteristic
324C22×C11C2×C4×Q811yescharacteristic
325C22×C11C2×C4×Q811yescharacteristic
326C22×C11C4×#4111yescharacteristic
327C22×C11C4×#4111yescharacteristic
328C22×C11C2×#12111yescharacteristic
329C22×C11C2×C22⋊Q811yescharacteristic
330C22×C11C2×C22⋊Q811yescharacteristic
331C22×C11C2×#12311yescharacteristic
332C22×C11#52511yescharacteristic
333C22×C11#52511yescharacteristic
334C22×C11C2×#12511yescharacteristic
335C22×C11C2×#12511yescharacteristic
336C22×C11C2×#12611yescharacteristic
337C22×C11#52911yescharacteristic
338C22×C11#52911yescharacteristic
339C22×C11#52911yescharacteristic
340C22×C11#52911yescharacteristic
341C22×C11#52911yescharacteristic
342C22×C11#52911yescharacteristic
343C22×C11#52911yescharacteristic
344C22×C11#52911yescharacteristic
345C22×C11C2×C4⋊Q811yescharacteristic
346C22×C11#53211yescharacteristic
347C22×C11#53211yescharacteristic
348C22×C11#53211yescharacteristic
349C22×C11#53211yescharacteristic
350C22×C11#53311yescharacteristic
351C22×C11#53311yescharacteristic
352C22×C11#53311yescharacteristic
353C22×C11#53311yescharacteristic
354C22×C11#53311yescharacteristic
355C22×C11#53311yescharacteristic
356C4×C11—24no—
357C4×C11—24no—
358C4×C11—24no—
359C4×C11—24no—
360C4×C11—24no—
361C4×C11—24no—
362C4×C11#38718yescomplemented
363Dic11—44no—
364Dic11—44no—
365Dic11—82no—
366Dic11—82no—
367C23×C4—112no—
368C23×C4—112no—
369C23×C4—112no—
370C23×C4—112no—
371C23×C4C22×D1111yescharacteristic
372C23×C4C22×D1111yescharacteristic
373C23×C4C22×D1111yescharacteristic
374C23×C4C22×D1111yescharacteristic
375C23×C4C22×D1111yescharacteristic
376C23×C4C22×D1111yescharacteristic
377C23×C4C22×D1111yescharacteristic
378C2×C4⋊C4—118no—
379C2×C4⋊C4—114no—
380C2×C4⋊C4—114no—
381C2×C4⋊C4—224no—
382C2×C4⋊C4—224no—
383C2×C4⋊C4—222no—
384C2×C4⋊C4—222no—
385C2×C4⋊C4—222no—
386C2×C4⋊C4—222no—
387C2×C4⋊C4—224no—
388C2×C4⋊C4—224no—
389C2×C4⋊C4—222no—
390C2×C4⋊C4—222no—
391C2×C4⋊C4—222no—
392C2×C4⋊C4—222no—
393C2×C4⋊C4—222no—
394C2×C4⋊C4—224no—
395C2×C4⋊C4—222no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42Dic2214yes—
413C2×C42Dic2214yes—
414C2×C42C4×D1114yes—
415C2×C42D4414yes—
416C2×C42C22⋊D1114yes—
417#95—118no—
418#95—224no—
419#95—224no—
420#95—224no—
421#95—224no—
422#95—224no—
423#95—224no—
424#95—224no—
425#95—224no—
426#95—224no—
427C2×C11C2×#38711yescharacteristic
428C2×C11#229311yescharacteristic
429C2×C11#229511yescharacteristic
430C2×C11C4×#12111yescharacteristic
431C2×C11C4×C22⋊Q811yescharacteristic
432C2×C11C4×#12511yescharacteristic
433C2×C11C4×C4⋊Q811yescharacteristic
434C2×C11#285111yescharacteristic
435C2×C11#285411yescharacteristic
436C2×C11#285511yescharacteristic
437C2×C11#285711yescharacteristic
438C2×C11#285911yescharacteristic
439C2×C11#286011yescharacteristic
440C2×C11#286311yescharacteristic
441C2×C11#286411yescharacteristic
442C24C23×D1111yescharacteristic
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—114no—
468C22×C4—114no—
469C22×C4—222no—
470C22×C4—222no—
471C22×C4—222no—
472C22×C4—222no—
473C22×C4—222no—
474C22×C4—222no—
475C22×C4—222no—
476C22×C4—222no—
477C22×C4—222no—
478C22×C4—222no—
479C22×C4—222no—
480C22×C4—222no—
481C22×C4—222no—
482C22×C4—222no—
483C22×C4—222no—
484C22×C4—222no—
485C22×C4—222no—
486C22×C4—222no—
487C22×C4—222no—
488C22×C4—222no—
489C22×C4—222no—
490C22×C4—222no—
491C22×C4—222no—
492C22×C4—222no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4C2×Dic2212yes—
496C22×C4C2×Dic2212yes—
497C22×C4C2×Dic2212yes—
498C22×C4C2×Dic2212yes—
499C22×C4C2×Dic2212yes—
500C22×C4C2×Dic2212yes—
501C22×C4C2×C4×D1112yes—
502C22×C4C2×C4×D1112yes—
503C22×C4C2×C4×D1112yes—
504C22×C4C2×D4412yes—
505C22×C4C2×D4412yes—
506C22×C4C2×D4412yes—
507C22×C4#433912yes—
508C22×C4#433912yes—
509C22×C4#433912yes—
510C22×C4#433912yes—
511C22×C4#433912yes—
512C22×C4#433912yes—
513C22×C4#433912yes—
514C22×C4#433912yes—
515C22×C4#433912yes—
516C22×C4#433912yes—
517C22×C4C2×C22⋊D1112yes—
518C22×C4C2×C22⋊D1112yes—
519C22×C4C2×C22⋊D1112yes—
520C4⋊C4—228no—
521C4⋊C4—2216no—
522C4⋊C4—228no—
523C4⋊C4—444no—
524C4⋊C4—444no—
525C4⋊C4—448no—
526C42—28no—
527C42—28no—
528C42—28no—
529C42—28no—
530C42—28no—
531C42—28no—
532C42—28no—
533C11#1469911yescharacteristic, complemented, Sylow
534C23C22×Dic2211yescharacteristic
535C23C22×Dic2211yescharacteristic
536C23C22×C4×D1111yescharacteristic
537C23C22×D4411yescharacteristic
538C23C2×#433911yescharacteristic
539C23C2×#433911yescharacteristic
540C23C2×#433911yescharacteristic
541C23C2×#433911yescharacteristic
542C23C2×#433911yescharacteristic
543C23C2×#433911yescharacteristic
544C23C2×#433911yescharacteristic
545C23C2×#433911yescharacteristic
546C23C2×#433911yescharacteristic
547C23C2×#433911yescharacteristic
548C23C22×C22⋊D1111yescharacteristic
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—224no—
586C2×C4—224no—
587C2×C4—224no—
588C2×C4—224no—
589C2×C4—224no—
590C2×C4—224no—
591C2×C4—442no—
592C2×C4—442no—
593C2×C4—442no—
594C2×C4—442no—
595C2×C4—442no—
596C2×C4—442no—
597C2×C4—442no—
598C2×C4—442no—
599C2×C4—442no—
600C2×C4—442no—
601C2×C4—442no—
602C2×C4—442no—
603C2×C4—442no—
604C2×C4—442no—
605C2×C4—442no—
606C2×C4—442no—
607C2×C4—442no—
608C2×C4—442no—
609C2×C4—442no—
610C2×C4—442no—
611C2×C4—442no—
612C2×C4—442no—
613C2×C4C4×Dic2214yes—
614C2×C4C4×Dic2214yes—
615C2×C4#6692214yes—
616C2×C4#6692314yes—
617C2×C4#6692314yes—
618C2×C4#6692514yes—
619C2×C4C4×D4414yes—
620C2×C4#6692914yes—
621C2×C4#6697714yes—
622C2×C4#6697714yes—
623C2×C4C4×C22⋊D1114yes—
624C2×C4#6698214yes—
625C2×C4#6698314yes—
626C22C2×C4×Dic2211yescharacteristic
627C22C2×C4×Dic2211yescharacteristic
628C22C2×#6692211yescharacteristic
629C22C2×#6692311yescharacteristic
630C22C2×#6692311yescharacteristic
631C22#1062300111yescharacteristic
632C22#1062300111yescharacteristic
633C22#1062300111yescharacteristic
634C22#1062300111yescharacteristic
635C22#1062300111yescharacteristic
636C22#1062300111yescharacteristic
637C22C2×#6692511yescharacteristic
638C22C2×C4×D4411yescharacteristic
639C22C4×#433911yescharacteristic
640C22C4×#433911yescharacteristic
641C22#1062300811yescharacteristic
642C22#1062300811yescharacteristic
643C22#1062300811yescharacteristic
644C22#1062300811yescharacteristic
645C22C2×#6692911yescharacteristic
646C22#1062301011yescharacteristic
647C22#1062301011yescharacteristic
648C22#1062301011yescharacteristic
649C22#1062301011yescharacteristic
650C22#1062301011yescharacteristic
651C22#1062301011yescharacteristic
652C22#1062301011yescharacteristic
653C22#1062301011yescharacteristic
654C22C2×#6697711yescharacteristic
655C22C2×#6697711yescharacteristic
656C22C2×C4×C22⋊D1111yescharacteristic
657C22C2×#6698211yescharacteristic
658C22C2×#6698311yescharacteristic
659C22#1062332211yescharacteristic
660C22#1062332211yescharacteristic
661C4—24no—
662C4—24no—
663C4—24no—
664C4—24no—
665C4—24no—
666C4—24no—
667C4—444no—
668C4—444no—
669C4—882no—
670C4—882no—
671C4#1062254618yescomplemented
672C2C2×#1062254611yescharacteristic
673C2#1307108011yescharacteristic
674C2#1307109311yescharacteristic
675C2C4×#6698311yescharacteristic
676C2C4×#6697711yescharacteristic
677C2C4×#6692311yescharacteristic
678C2C4×#6692211yescharacteristic
679C2#1307692611yescharacteristic
680C2#1307694711yescharacteristic
681C2#1307695511yescharacteristic
682C2#1307696811yescharacteristic
683C2#1307697911yescharacteristic
684C2#1307698311yescharacteristic
685C2#1307699811yescharacteristic
686C2#1307700311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C43×C11C2
socle, prime radical, cosocleC24×C11C24
hypercenterC2×C43D11
hypocenterC11#14699
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×C43

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
38. #10622541C4semidirect
362. C4×C11#387semidirect
533. C11#14699semidirect
671. C4#10622546semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#106225412
C2×#106225462
#130668492
#130668462
#130668432
C2×C43×C112
#1469911